In Exercises 19–24, explore the effect of an elementary row operation on the determinant of a matrix. In each case, state the row operation and describe how it affects the determinant. 24. [ 1 0 1 − 3 4 − 4 2 − 3 1 ] , [ k 0 k − 3 4 − 4 2 − 3 1 ]
In Exercises 19–24, explore the effect of an elementary row operation on the determinant of a matrix. In each case, state the row operation and describe how it affects the determinant. 24. [ 1 0 1 − 3 4 − 4 2 − 3 1 ] , [ k 0 k − 3 4 − 4 2 − 3 1 ]
Solution Summary: The author explains how the first row of matrix A is multiplied by k to form matrix B. The determinant of the matrix can be computed using cofactor expansion across the rows or down the columns.
In Exercises 19–24, explore the effect of an elementary row operation on the determinant of a matrix. In each case, state the row operation and describe how it affects the determinant.
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY